In this article, the robust Stackelberg controllability (RSC) problem is studied for a nonlinear fourth-order parabolic equation, namely Kuramoto–Sivashinsky equation. When three external sources are acting into system, RSC consists essentially in combining two subproblems: first one saddle point among sources. Such called “follower control” and its associated “disturbance signal.” This procedu...

This paper is concerned with the effect of capacity constraints on the locations of terror response facilities. We assume that the state has limited resources, and multiple facilities may be involved in the response until the demand is satisfied consequently. We formulate a leader-follower game model between the state and the terrorist and prove the existence and uniqueness of the Nash equilibr...

Much effort in the discrete location theory has aimed at developing insights concerning the classical models with one decision maker only. In this paper, we study a competitive model with two noncooperative decision makers: the leader and the follower. They compete to attract clients from the given market and wish to maximize their own profits. In fact, this is the noncooperative Stackelberg ga...

Organizational decision making often involves two decision levels. When the leader at the upper level attempts to optimize hislher objective, the follower at the lower level tries to find an optimized strategy according to each of possible decisions made by the leader. Furthermore, such bilevel decision making may involve uncertain parameters which appear either in the objective functions or co...

This paper presents a receding-horizon leader-follower (RH-LF) controller for addressing the formation control problem of multiple nonholonomic mobile robots. The issues to be investigated include separation, bearing, and orientation deviation control between the leader and the followers, where the orientation deviation control is especially important to control precision. After the leader-foll...

This paper proposes a distributed coordination mechanism between local feedback controllers that adapt the switching times of traffic lights at neighboring intersections. Some heavily loaded intersections are designated “leader intersections”. There, a local control agent sets switching times to minimize the expected queues, knowing vehicle passing times at local upstream sensors only, and send...

A symmetry position/force hybrid control framework for cooperative object transportation tasks with multiple humanoid robots is proposed in this paper. In a leader-follower type cooperation, follower robots plan their biped gaits based on the forces generated at their hands after a leader robot moves. Therefore, if the leader robot moves fast (rapidly pulls or pushes the carried object), some o...

This paper investigates the relationship between trade and economic development using a two-country, non-scale-growth model. Depending on the share of the expenditure for manufactured goods, we obtain two different results with regard to long-run production patterns. If the share of the expenditure is less than or equal to half, the leader country diversifies while the follower country asymptot...

We propose a distributed adaptive fuzzy iterative learning control (ILC) algorithm to deal with coordination control problems in leader-following multi-agent systems in which each follower agent has unknown dynamics and a non-repeatable input disturbance. The ILC protocols are designed with distributed initial-state learning and it is not necessary to fix the initial value at the beginning of e...

We propose a generic framework for an active leader-follower surveillance system. The system can ingest inputs from a variety of multimodal leader sensors: Radars, Automatic Identification Systems (AIS), or cameras. Rule and learning based pattern recognition techniques are performed on the leader sensors to infer unusual behaviors and events. In order to calibrate the follower PTZ cameras to t...